a recent court case it was found that during a period of 11 years 893 people were selected for grand jury duty and 2% of them were from the same ethnicity. Among the people eligible for grand jury duty, 81% were of this ethnicity. se a 0.05 significance level to test the claim that the selection process is biased against allowing this ethnicity to sit n the grand jury. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null ypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution s an approximation to the binomial distribution. 05 -- H₁: p<0.81 What is the test statistic? Z= -29.71 (Round to two decimal places as needed.) What is the P-value? P-value= (Round to four decimal places as needed.) ** U H₁: p=0.81

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Author:Amos Gilat
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In a recent court case, it was found that during a period of 11 years, 893 people were selected for grand jury duty, and 42% of them were from the same ethnicity. Among those eligible for grand jury duty, 81% were of this ethnicity. Use a 0.05 significance level to test the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, and provide a conclusion about the null hypothesis that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution.

**Null Hypothesis (H₀):**  
p = 0.81

**Alternative Hypothesis (H₁):**  
p < 0.81

**What is the test statistic?**  
z = -29.71  
(Round to two decimal places as needed.)

**What is the P-value?**  
P-value = ______  
(Round to four decimal places as needed.)
Transcribed Image Text:In a recent court case, it was found that during a period of 11 years, 893 people were selected for grand jury duty, and 42% of them were from the same ethnicity. Among those eligible for grand jury duty, 81% were of this ethnicity. Use a 0.05 significance level to test the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, and provide a conclusion about the null hypothesis that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution. **Null Hypothesis (H₀):** p = 0.81 **Alternative Hypothesis (H₁):** p < 0.81 **What is the test statistic?** z = -29.71 (Round to two decimal places as needed.) **What is the P-value?** P-value = ______ (Round to four decimal places as needed.)
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